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Detection of periodic displacements of shell structures with edges using spline surfaces, meshes and point clouds

Grzegorz Lenda

Grzegorz Lenda

Faculty of Mining Surveying and Environmental Engineering, AGH University of Science and TechnologyKraków, Poland
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Lenda, Grzegorz
 and 
Katarzyna Abrachamowicz

Katarzyna Abrachamowicz

Faculty of Mining Surveying and Environmental Engineering, AGH University of Science and TechnologyKraków, Poland
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Abrachamowicz, Katarzyna
  
Dec 17, 2021
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Article Category: Original Article
Published Online: Dec 17, 2021
Page range: 27 - 33
Received: Jul 03, 2021
Accepted: Nov 18, 2021
DOI: https://doi.org/10.2478/rgg-2021-0005
Keywords
© 2021 Grzegorz Lenda et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1

The shell studied during the measurements performed in 2013 (a) and 2020 (b)
The shell studied during the measurements performed in 2013 (a) and 2020 (b)

Figure 2

The flange torn off and bent in 2013 (a) and repaired in 2020 (b). The tile damaged in 2020 (d) compared to 2013 (c). The photos show the edges of the flange and narrow longitudinal slats forming additional edges
The flange torn off and bent in 2013 (a) and repaired in 2020 (b). The tile damaged in 2020 (d) compared to 2013 (c). The photos show the edges of the flange and narrow longitudinal slats forming additional edges

Figure 3

Point clouds from the epoch 2013 (a) and 2020 (b)
Point clouds from the epoch 2013 (a) and 2020 (b)

Figure 4

Chamfering of the mesh edge (a), undulations of the spline surface along the edge (b)
Chamfering of the mesh edge (a), undulations of the spline surface along the edge (b)

Figure 5

Periodic displacements of the structure determined by direct comparison of point clouds. View of the entire structure as well as the left and right parts of the front patches with deformations and edges
Periodic displacements of the structure determined by direct comparison of point clouds. View of the entire structure as well as the left and right parts of the front patches with deformations and edges

Figure 6

Periodic displacements of the structure determined by comparing the primary point cloud with the mesh model created for the current measurement. View of the entire structure as well as the left and right parts of the front patches with deformations and edges
Periodic displacements of the structure determined by comparing the primary point cloud with the mesh model created for the current measurement. View of the entire structure as well as the left and right parts of the front patches with deformations and edges

Figure 7

Periodic displacements of the structure determined by comparing the primary point cloud with the spline model created for the current measurement. View of the entire structure as well as the left and right parts of the front patches with deformations and edges
Periodic displacements of the structure determined by comparing the primary point cloud with the spline model created for the current measurement. View of the entire structure as well as the left and right parts of the front patches with deformations and edges

Percentages of the individual deviation ranges and the average deviations

Range of deviations [mm] Percentage of deviation [%]
Cloud to cloud Cloud to mesh Cloud to spline
(0, 5] 98.83 95.16 37.75
(5, 10] 0.90 3.25 33.06
(10, 15] 0.11 1.13 22.35
(15, 20] 0.06 0.37 5.68
>20 0.11 0.09 1.16
Average deviation [mm] 1.9 2.8 7.1
Language:
English
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2 times per year
Journal Subjects:
Computer Sciences, Computer Sciences, other, Geosciences, Geodesy, Cartography and Photogrammetry, Geosciences, other
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